Chosen Fixed Point
Here is the data for the chosen fixed point.
$F_{UV}$ represents the flavor symmetries in the UV Lagrangian, and $F_{IR}$ represents the flavor symmetries in the IR. $F_{UV}$ and $F_{IR}$ can differ due to accidental symmetry enhancement.
The number of marginal operators, $n_{marginal}$, minus the dimension of flavor symmetries in IR, $|F_{IR}|$, corresponds to the coefficient of $t^6$ in the superconformal index.
| # | Theory | Superpotential | Central charge $a$ | Central charge $c$ | Ratio $a/c$ | Matter field: $R$-charge | U(1) part of $F_{UV}$ | Rank of $F_{UV}$ | Rational |
|---|---|---|---|---|---|---|---|---|---|
| 3983 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_6q_1q_2$ + $ M_3M_6$ + $ M_5X_1$ + $ M_7\phi_1q_2^2$ + $ M_1M_8$ | 0.6583 | 0.809 | 0.8137 | [X:[1.3528], M:[1.0396, 1.0981, 1.1566, 0.9604, 0.6472, 0.8434, 0.7849, 0.9604], q:[0.7745, 0.3821], qb:[0.5783, 0.4613], phi:[0.4509]] | [X:[[6]], M:[[-22], [-4], [14], [22], [-6], [-14], [-32], [22]], q:[[-1], [15]], qb:[[7], [-29]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_7$, $ M_6$, $ M_4$, $ M_8$, $ M_2$, $ M_3$, $ q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ X_1$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_7^2$, $ \phi_1\tilde{q}_1^2$, $ M_6M_7$, $ M_6^2$, $ M_4M_7$, $ M_7M_8$, $ M_4M_6$, $ M_6M_8$, $ M_4^2$, $ M_4M_8$, $ M_8^2$, $ M_2M_6$, $ M_3M_7$ | . | -2 | t^2.35 + t^2.53 + 2*t^2.88 + t^3.29 + t^3.47 + t^3.71 + t^3.88 + t^4.06 + t^4.12 + t^4.23 + t^4.47 + t^4.71 + t^4.82 + t^4.88 + t^5.06 + 2*t^5.24 + t^5.41 + 2*t^5.76 + 2*t^5.82 - 2*t^6. + t^6.06 + t^6.18 + t^6.24 + t^6.35 + t^6.41 + t^6.48 + 2*t^6.59 + t^6.65 + t^6.76 + t^6.83 + t^6.94 + 2*t^7. + t^7.06 + t^7.12 + t^7.18 + t^7.24 + t^7.35 + 2*t^7.41 + t^7.53 + 3*t^7.59 + t^7.7 + 2*t^7.77 + t^7.83 + t^7.94 + t^8. + 2*t^8.12 + 2*t^8.18 + t^8.24 + t^8.29 - t^8.35 + t^8.42 - t^8.53 + 2*t^8.59 + 2*t^8.64 + t^8.71 + t^8.77 + t^8.83 - 4*t^8.88 + 2*t^8.94 - t^4.35/y - t^6.71/y - t^7.23/y + t^7.47/y + t^7.88/y + t^8./y + (2*t^8.24)/y + (2*t^8.41)/y + t^8.65/y + t^8.76/y + (2*t^8.82)/y - t^4.35*y - t^6.71*y - t^7.23*y + t^7.47*y + t^7.88*y + t^8.*y + 2*t^8.24*y + 2*t^8.41*y + t^8.65*y + t^8.76*y + 2*t^8.82*y | t^2.35/g1^32 + t^2.53/g1^14 + 2*g1^22*t^2.88 + t^3.29/g1^4 + g1^14*t^3.47 + t^3.71/g1^30 + t^3.88/g1^12 + g1^6*t^4.06 + t^4.12/g1^56 + g1^24*t^4.23 + t^4.47/g1^20 + t^4.71/g1^64 + g1^16*t^4.82 + t^4.88/g1^46 + t^5.06/g1^28 + (2*t^5.24)/g1^10 + g1^8*t^5.41 + 2*g1^44*t^5.76 + (2*t^5.82)/g1^18 - 2*t^6. + t^6.06/g1^62 + g1^18*t^6.18 + t^6.24/g1^44 + g1^36*t^6.35 + t^6.41/g1^26 + t^6.48/g1^88 + (2*t^6.59)/g1^8 + t^6.65/g1^70 + g1^10*t^6.76 + t^6.83/g1^52 + g1^28*t^6.94 + (2*t^7.)/g1^34 + t^7.06/g1^96 + g1^46*t^7.12 + t^7.18/g1^16 + t^7.24/g1^78 + g1^2*t^7.35 + (2*t^7.41)/g1^60 + g1^20*t^7.53 + (3*t^7.59)/g1^42 + g1^38*t^7.7 + (2*t^7.77)/g1^24 + t^7.83/g1^86 + t^7.94/g1^6 + t^8./g1^68 + 2*g1^12*t^8.12 + (2*t^8.18)/g1^50 + t^8.24/g1^112 + g1^30*t^8.29 - t^8.35/g1^32 + t^8.42/g1^94 - t^8.53/g1^14 + (2*t^8.59)/g1^76 + 2*g1^66*t^8.64 + g1^4*t^8.71 + t^8.77/g1^58 + t^8.83/g1^120 - 4*g1^22*t^8.88 + (2*t^8.94)/g1^40 - (g1^2*t^4.35)/y - t^6.71/(g1^30*y) - (g1^24*t^7.23)/y + t^7.47/(g1^20*y) + t^7.88/(g1^46*y) + (g1^34*t^8.)/y + (2*t^8.24)/(g1^10*y) + (2*g1^8*t^8.41)/y + t^8.65/(g1^36*y) + (g1^44*t^8.76)/y + (2*t^8.82)/(g1^18*y) - g1^2*t^4.35*y - (t^6.71*y)/g1^30 - g1^24*t^7.23*y + (t^7.47*y)/g1^20 + (t^7.88*y)/g1^46 + g1^34*t^8.*y + (2*t^8.24*y)/g1^10 + 2*g1^8*t^8.41*y + (t^8.65*y)/g1^36 + g1^44*t^8.76*y + (2*t^8.82*y)/g1^18 |
Deformation
Here is the data for the deformed fixed points from the chosen fixed point.
| # | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
|---|---|---|---|---|---|---|---|---|
| 5515 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_6q_1q_2$ + $ M_3M_6$ + $ M_5X_1$ + $ M_7\phi_1q_2^2$ + $ M_1M_8$ + $ M_3M_9$ | 0.6721 | 0.8336 | 0.8063 | [X:[1.3552], M:[1.0308, 1.0965, 1.1622, 0.9692, 0.6448, 0.8378, 0.7721, 0.9692, 0.8378], q:[0.7741, 0.3881], qb:[0.5811, 0.4497], phi:[0.4517]] | t^2.32 + 2*t^2.51 + 2*t^2.91 + t^3.29 + t^3.67 + t^3.87 + t^4.05 + t^4.07 + t^4.26 + t^4.45 + t^4.63 + 2*t^4.83 + t^4.84 + 3*t^5.03 + 2*t^5.22 + 3*t^5.42 + 2*t^5.8 + 2*t^5.82 + t^5.99 - 3*t^6. - t^4.36/y - t^4.36*y | detail | |
| 5505 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_6q_1q_2$ + $ M_3M_6$ + $ M_5X_1$ + $ M_7\phi_1q_2^2$ + $ M_1M_8$ + $ M_6M_7$ | 0.5867 | 0.7253 | 0.8089 | [X:[1.3043], M:[1.2174, 1.1304, 1.0435, 0.7826, 0.6957, 0.9565, 1.0435, 0.7826], q:[0.7826, 0.2609], qb:[0.5217, 0.6957], phi:[0.4348]] | 2*t^2.35 + t^2.87 + 2*t^3.13 + t^3.39 + t^3.65 + t^3.91 + t^4.17 + 2*t^4.43 + 2*t^4.7 + t^4.96 + t^5.22 + 4*t^5.48 + 2*t^5.74 - t^4.3/y - t^4.3*y | detail | {a: 114219/194672, c: 70599/97336, X1: 30/23, M1: 28/23, M2: 26/23, M3: 24/23, M4: 18/23, M5: 16/23, M6: 22/23, M7: 24/23, M8: 18/23, q1: 18/23, q2: 6/23, qb1: 12/23, qb2: 16/23, phi1: 10/23} |
| 5517 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_6q_1q_2$ + $ M_3M_6$ + $ M_5X_1$ + $ M_7\phi_1q_2^2$ + $ M_1M_8$ + $ M_9\phi_1q_2\tilde{q}_2$ | 0.6788 | 0.8478 | 0.8006 | [X:[1.3523], M:[1.0417, 1.0985, 1.1553, 0.9583, 0.6477, 0.8447, 0.788, 0.9583, 0.7045], q:[0.7746, 0.3806], qb:[0.5776, 0.4641], phi:[0.4508]] | t^2.11 + t^2.36 + t^2.53 + 2*t^2.87 + t^3.3 + t^3.47 + t^3.72 + t^4.06 + t^4.14 + 2*t^4.23 + 2*t^4.48 + t^4.65 + t^4.73 + t^4.82 + t^4.9 + 2*t^4.99 + t^5.07 + 2*t^5.24 + 2*t^5.41 + t^5.58 + 2*t^5.75 + 3*t^5.83 - 2*t^6. - t^4.35/y - t^4.35*y | detail | |
| 5516 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_6q_1q_2$ + $ M_3M_6$ + $ M_5X_1$ + $ M_7\phi_1q_2^2$ + $ M_1M_8$ + $ M_9q_1\tilde{q}_2$ | 0.6771 | 0.8427 | 0.8035 | [X:[1.3499], M:[1.0505, 1.1001, 1.1497, 0.9495, 0.6501, 0.8503, 0.8008, 0.9495, 0.7493], q:[0.775, 0.3746], qb:[0.5748, 0.4757], phi:[0.45]] | t^2.25 + t^2.4 + t^2.55 + 2*t^2.85 + t^3.3 + t^3.45 + t^3.9 + t^4.05 + 2*t^4.2 + 2*t^4.5 + t^4.65 + 3*t^4.8 + t^4.95 + 3*t^5.1 + 2*t^5.25 + t^5.4 + t^5.55 + 3*t^5.7 + 2*t^5.85 - 2*t^6. - t^4.35/y - t^4.35*y | detail |
Equivalent Fixed Points from Other Seed Theories
Here is a list of equivalent fixed points from other gauge theories.
| # | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
|---|
Equivalent Fixed Points from the Same Seed Theory
Below is a list of equivalent fixed points from the same seed theories.
| id | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | More Info. | Rational |
|---|
Previous Theory
The previous fixed point before deforming to get the chosen fixed point.
| # | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
|---|---|---|---|---|---|---|---|---|---|
| 1596 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_6q_1q_2$ + $ M_3M_6$ + $ M_5X_1$ + $ M_7\phi_1q_2^2$ | 0.6555 | 0.806 | 0.8132 | [X:[1.3577], M:[1.0217, 1.0949, 1.168, 0.9783, 0.6423, 0.832, 0.7588], q:[0.7737, 0.3943], qb:[0.584, 0.4377], phi:[0.4526]] | t^2.28 + t^2.5 + t^2.93 + t^3.07 + t^3.28 + t^3.5 + t^3.63 + t^3.85 + t^3.98 + t^4.07 + t^4.29 + t^4.42 + t^4.55 + t^4.77 + t^4.86 + t^4.99 + t^5.21 + t^5.34 + t^5.56 + 2*t^5.78 + t^5.91 - t^6. - t^4.36/y - t^4.36*y | detail |